Dynamics & Space Exercise 14

1. Calculate the kinetic energy of a 2kg mass moving at 2ms-1.

2. Calculate the kinetic energy of a sprinter of mass 80kg running at 10ms-1.

3. Find the kinetic energy of a horse of mass 600kg running at 15ms-1.

4. How much kinetic energy will a car of mass 1200kg have when it is travelling at 30ms-1?

5. Calculate the kinetic energy of a fly of mass 1g moving at 1ms-1.

6. If an object travelling at 5ms-1 has 100J of kinetic energy, calculate its mass.

7. The bus below has 1.2MJ of kinetic energy. What is the mass of the bus?

 

8. The cyclist below has a mass of 80kg.What speed must he move at in order to have 9kJ of kinetic energy?

 

 

 

 

 

 

9. An aeroplane on an aircraft carrier must reach a minimum speed of 70 m/s to safely take off. The mass of the aeroplane is 28 000 kg.


(a) The aeroplane accelerates from rest to its minimum take off speed in 2 s.

(i) Calculate the acceleration of the aeroplane.

(ii) Calculate the force required to produce this acceleration.

(iii) The aeroplane’s engines provide a total thrust of 240 kN. An additional force is supplied by a catapult to produce the acceleration required. Calculate the force supplied by the catapult.

(b) Later, the same aeroplane travelling at a speed of 65 m/s, touches down on the carrier.

(i) Calculate the kinetic energy of the aeroplane at this speed.
(ii) The graph shows the motion of the aeroplane from the point when it touches down on the carrier until it stops.

Calculate the distance travelled by the aeroplane on the carrier.

 

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